48895378790400 has 1728 divisors, whose sum is σ = 188034569704800. Its totient is φ = 12449297203200.

The previous prime is 48895378790381. The next prime is 48895378790497. The reversal of 48895378790400 is 409787359884.

48895378790400 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 53 + 7 + 87 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123162163002 + ... + 123162163398.

Almost surely, 2^{48895378790400} is an apocalyptic number.

48895378790400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48895378790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94017284852400).

48895378790400 is an abundant number, since it is smaller than the sum of its proper divisors (139139190914400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48895378790400 is a wasteful number, since it uses less digits than its factorization.

48895378790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 48895378790400 in words is "forty-eight trillion, eight hundred ninety-five billion, three hundred seventy-eight million, seven hundred ninety thousand, four hundred".